Solve the following equation y=3/2x-5 when y=7

X=8

Step-by-step explanation:

7 = 3/2x - 5

Add 5 to each side

12 = 3/2x

Simplify

12 = 1.5x

Divide each side by 1.5

8 = x

Check the solution

7 = 3/2 (8) - 5

7 = 12 - 5

7 = 7

Step-by-step explanation:

Step 1: 7=3/2x-5

(it's given that y=7, so we can substitute 7 for y)

Step 2: 12=3/2x

(Add by 5 on both sides, we have to isolate the "x" in order to find it's value)

Step 3: 12 (2x) = 3

(multiply by 2x on both sides)

Step 4: 24x=3

Step 5: x=3/24

(we divide by 24 on both sides to get the "x" alone)

Step 6: x=1/8

(3/24 can be further simplified into 1/8, so x=1/8)

Check:

we can check if the answer [x=1/8] is right by substituting 1/8 for x in the equation y=3/2x-5, if y=7 after solving, then we know the answer is right.

step 1: y=3/2 (1/8) - 5

(substitute 1/8 for x and then simplify that fraction)

step 2: y=12-5

Step 3: y=7

The answer 1/8=x can now be confirmed.